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 Eurasian Math. J., 2020, Volume 11, Number 3, Pages 21–34 (Mi emj371)

Calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces

E. I. Berezhnoi

Department of Mathematics, Yaroslavl State University, 14 Sovetskaya St, 150 000 Yaroslavl, Russian Federation

Abstract: The calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces is reduced to the calculation of the Calderón–Lozanovskii construction for two couples of ideal spaces of functions and sequences, that are the parameters in the definition of local Morrey spaces. These results allows us to obtain new interpolation theorems for operators on local Morrey spaces.

Keywords and phrases: Calderón–Lozanovskii construction, local Morrey spaces, approximation in local Morrey spaces, Banach ideal spaces, sublinear operators, interpolation theorems in local Morrey spaces.

 Funding Agency Grant Number Russian Foundation for Basic Research 20-51-56015 This work was supported by the Russian Foundation for Basic Research, project no. 20-51-56015.

DOI: https://doi.org/10.32523/2077-9879-2020-11-3-21-34

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MSC: 46E30, 46B42, 46B70
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Citation: E. I. Berezhnoi, “Calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces”, Eurasian Math. J., 11:3 (2020), 21–34

Citation in format AMSBIB
\Bibitem{Ber20} \by E.~I.~Berezhnoi \paper Calculation of the Calder\'on--Lozanovskii construction for a couple of local Morrey spaces \jour Eurasian Math. J. \yr 2020 \vol 11 \issue 3 \pages 21--34 \mathnet{http://mi.mathnet.ru/emj371} \crossref{https://doi.org/10.32523/2077-9879-2020-11-3-21-34} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000610832700002} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85115068449}